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Finding the Third Proportional to 347,506.88 and 711,946.13

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Solution

The third proportional to 347,506.88 and 711,946.13 is: 1,458,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,506.88 : 711,946.13 = 711,946.13 : x
  2. Step 2: Convert to fraction form
    347,506.88/711,946.13 = 711,946.13/x
  3. Step 3: Cross multiply
    347,506.88x = 711,946.13 × 711,946.13
  4. Step 4: Simplify right side
    347,506.88x = 506,867,284,902.52
  5. Step 5: Solve for x
    x = 506,867,284,902.52/347,506.88
  6. Step 6: Final answer
    x = 1,458,582.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.